Unstable periodic orbits and discretization cycles

被引:8
|
作者
Binder, PM [1 ]
Okamoto, NH [1 ]
机构
[1] Univ Hawaii, Dept Phys & Astron, Hilo, HI 96720 USA
来源
PHYSICAL REVIEW E | 2003年 / 68卷 / 04期
关键词
D O I
10.1103/PhysRevE.68.046206
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Limit cycles that arise from discretizing the variable(s) of a nonlinear map are generally found to shadow individual unstable periodic orbits (UPOs) of the corresponding continuous map. In a few cases the discretization cycles can only be explained with other mechanisms, such as the near-occurrence of an UPO, or crossover between two or more UPOs.
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页数:3
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